Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
210 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. C4⋊#622 | C4 | semidirect |
| 13. C4×#622 | C4 | semidirect |
| 127. C32 | #1286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10593736 | 2 |
| #10593728 | 2 |
| #10593725 | 2 |
| #1286 | 9 |